830144000 has 320 divisors, whose sum is σ = 2527873920. Its totient is φ = 265420800.

The previous prime is 830143973. The next prime is 830144057. The reversal of 830144000 is 441038.

830144000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7615946 + ... + 7616054.

It is an arithmetic number, because the mean of its divisors is an integer number (7899606).

Almost surely, 2^830144000 is an apocalyptic number.

830144000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263936960).

830144000 is an abundant number, since it is smaller than the sum of its proper divisors (1697729920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

830144000 is a wasteful number, since it uses less digits than its factorization.

830144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 830144000 is about 28812.2196298723. The cubic root of 830144000 is about 939.8339830545.

Adding to 830144000 its reverse (441038), we get a palindrome (830585038).

The spelling of 830144000 in words is "eight hundred thirty million, one hundred forty-four thousand".